Question 1

Solve the compound inequality. Graph the solution set (if one exists)and write it using interval notation. $- 3 x  8 x$

Accepted Answer

A)  $( - \infty , 0 ) \cup ( 0 , \infty )$   
B)  $x = 0$   
C)  $( - \infty , 0 )$   
D)  $( 0 , \infty )$   
E)  $\phi$   
A)  $( - \infty , 0 ) \cup ( 0 , \infty )$   
B)  $x = 0$   
C)  $( - \infty , 0 )$   
D)  $( 0 , \infty )$   
E)  $\phi$

Question 2

Solve the equation. $$2 x + 4 + 7 x = 3 x + 2 x - 32$$

Accepted Answer

A) x = -9 
B) x = -7 
C) x = -13 
D) x = 13 
E) x = -5 
A) x = -9 
B) x = -7 
C) x = -13 
D) x = 13 
E) x = -5

Question 3

Solve the inequality. Graph the result. $$\frac { 1 } { 4 } x - \frac { 1 } { 3 } \leq x + 2$$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Use the properties of equality to solve the equation. $p - \frac { 2 } { 5 } = \frac { 1 } { 3 }$

Accepted Answer

A)  $p = \frac { 2 } { 5 }$ 
B)  $p = \frac { 1 } { 15 }$ 
C)  $p = 1 \frac { 4 } { 15 }$ 
D)  $p = \frac { 11 } { 15 }$ 
E) none of these 
A)  $p = \frac { 2 } { 5 }$ 
B)  $p = \frac { 1 } { 15 }$ 
C)  $p = 1 \frac { 4 } { 15 }$ 
D)  $p = \frac { 11 } { 15 }$ 
E) none of these

Question 5

Solve the formula for B . Volume of a pyramid: $V = \frac { 1 } { 3 } B h$

Accepted Answer

A)  $B = 3 \frac { h } { V }$ 
B)  $B = 3 \mathrm { Vh }$ 
C)  $B = 3 \frac { \mathrm { V } } { \mathrm { h } }$ 
D)  $B = \frac { V } { 3 h }$ 
E) none of these 
A)  $B = 3 \frac { h } { V }$ 
B)  $B = 3 \mathrm { Vh }$ 
C)  $B = 3 \frac { \mathrm { V } } { \mathrm { h } }$ 
D)  $B = \frac { V } { 3 h }$ 
E) none of these

Question 6

Solve the equation. Give the solution in interval notation. $$| 4 - 5 x | \geq 14$$

Accepted Answer

A)  $( - \infty , - 2 ] \cup \left[ \frac { 18 } { 5 } , \infty \right)$ 
B)  $\left[ \frac { 18 } { 5 } , \infty \right)$ 
C)  $\left[ - 2 , \frac { 18 } { 5 } \right]$ 
D)  $( - \infty , - 2 ]$ 
E) no solution 
A)  $( - \infty , - 2 ] \cup \left[ \frac { 18 } { 5 } , \infty \right)$ 
B)  $\left[ \frac { 18 } { 5 } , \infty \right)$ 
C)  $\left[ - 2 , \frac { 18 } { 5 } \right]$ 
D)  $( - \infty , - 2 ]$ 
E) no solution

Question 7

Solve the equation, if possible. $$| x + 4 | = 12$$

Accepted Answer

A) 8, -16 
B) 8 
C) 8, 16 
D) -8 , -16 
E) no solution 
A) 8, -16 
B) 8 
C) 8, 16 
D) -8 , -16 
E) no solution

Question 8

Use an algebraic approach to solve the problem: A board 20 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

Accepted Answer

A) 20 feet 
B) 4 feet 
C) 12 feet 
D) -4 feet 
E) 8 feet 
A) 20 feet 
B) 4 feet 
C) 12 feet 
D) -4 feet 
E) 8 feet

Question 9

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour. ACTION Truck Rental Big $22 \mathrm { ft }$ Truck Only \$26.95 for one hour. $\$ 7.95$ for each extra hour.

Accepted Answer

A) Approximately 10 hr 
B) Approximately 8 hr 
C) Approximately 12 hr 
D) Approximately 15 hr 
E) Approximately 7 hr 
A) Approximately 10 hr 
B) Approximately 8 hr 
C) Approximately 12 hr 
D) Approximately 15 hr 
E) Approximately 7 hr

Question 10

Solve the equation. 5( t - 2)+ 2( t - 1)= -2( t - 1)+ 10( t + 2)

Accepted Answer

A) t = -44 
B) t = -36 
C) t = -34 
D) t = -29 
E) t = -27 
A) t = -44 
B) t = -36 
C) t = -34 
D) t = -29 
E) t = -27

Solve the compound inequality. Graph the solution set (if one exists)and write it using interval notation. $- 3 x < - 4 x$ and $9 x > 8 x$

Solve the equation. $2 x + 4 + 7 x = 3 x + 2 x - 32$

Solve the inequality. Graph the result. $\frac { 1 } { 4 } x - \frac { 1 } { 3 } \leq x + 2$

Use the properties of equality to solve the equation. $p - \frac { 2 } { 5 } = \frac { 1 } { 3 }$

Solve the formula for B . Volume of a pyramid: $V = \frac { 1 } { 3 } B h$

Solve the equation. Give the solution in interval notation. $| 4 - 5 x | \geq 14$

Solve the equation, if possible. $| x + 4 | = 12$

Use an algebraic approach to solve the problem: A board 20 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour. ACTION Truck Rental Big $22 \mathrm { ft }$ Truck Only \$26.95 for one hour. $\$ 7.95$ for each extra hour.

Solve the equation. 5( t - 2)+ 2( t - 1)= -2( t - 1)+ 10( t + 2)

Basic Concepts and Properties

Polynomials

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Equations and Inequalities in Two Variables

Conic Sections

Functions

Systems of Equations

Exponential and Logarithmic Functions

Filters

Exam 2: Equations, Inequalities, and Problem Solving

Solve the compound inequality. Graph the solution set (if one exists)and write it using interval notation. −3x<−4x- 3 x < - 4 x−3x<−4x and 9x>8x9 x > 8 x9x>8x

Solve the equation. 2x+4+7x=3x+2x−322 x + 4 + 7 x = 3 x + 2 x - 322x+4+7x=3x+2x−32

Solve the inequality. Graph the result. 14x−13≤x+2\frac { 1 } { 4 } x - \frac { 1 } { 3 } \leq x + 241​x−31​≤x+2

Use the properties of equality to solve the equation. p−25=13p - \frac { 2 } { 5 } = \frac { 1 } { 3 }p−52​=31​

Solve the formula for B . Volume of a pyramid: V=13BhV = \frac { 1 } { 3 } B hV=31​Bh

Solve the equation. Give the solution in interval notation. ∣4−5x∣≥14| 4 - 5 x | \geq 14∣4−5x∣≥14

Solve the equation, if possible. ∣x+4∣=12| x + 4 | = 12∣x+4∣=12

Use an algebraic approach to solve the problem: A board 20 feet long is cut into two pieces such that the length of one piece is two-thirds of the length of the other piece. Find the length of the shorter piece of board.

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour. ACTION Truck Rental Big 22ft22 \mathrm { ft }22ft Truck Only \$26.95 for one hour. $7.95\$ 7.95$7.95 for each extra hour.

Solve the equation. 5( t - 2)+ 2( t - 1)= -2( t - 1)+ 10( t + 2)

Basic Concepts and Properties

Polynomials

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Equations and Inequalities in Two Variables

Conic Sections

Functions

Systems of Equations

Exponential and Logarithmic Functions

Filters

Solve the compound inequality. Graph the solution set (if one exists)and write it using interval notation. $- 3 x < - 4 x$ and $9 x > 8 x$

Solve the equation. $2 x + 4 + 7 x = 3 x + 2 x - 32$

Solve the inequality. Graph the result. $\frac { 1 } { 4 } x - \frac { 1 } { 3 } \leq x + 2$

Use the properties of equality to solve the equation. $p - \frac { 2 } { 5 } = \frac { 1 } { 3 }$

Solve the formula for B . Volume of a pyramid: $V = \frac { 1 } { 3 } B h$

Solve the equation. Give the solution in interval notation. $| 4 - 5 x | \geq 14$

Solve the equation, if possible. $| x + 4 | = 12$

How long can a person rent the truck described in the ad if the cost is to be less than $120? Round your answer to the nearest hour. ACTION Truck Rental Big $22 \mathrm { ft }$ Truck Only \$26.95 for one hour. $\$ 7.95$ for each extra hour.